{
 "id": "LIB2-055",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "The finite carrier fails the cylinder-condition count",
 "statement": "The banked carrier requires the invariant dimension signature (1,27,27,1), whose count does not close on the cylinder-invariant subspace.",
 "scope": {
  "carrier": "The banked invariant carrier decomposition",
  "domain": "The finite cylinder-condition test, not its interpretive Kaluza–Klein reading.",
  "group": null,
  "hypotheses": [
   "Use the invariant decomposition and cylinder-invariant subspace specified in the banked model."
  ],
  "physical_target": null,
  "quantifier": "The registered construction only.",
  "real_form": null
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 269
 },
 "house_tier": null,
 "review_state": "PUBLISHED",
 "scientific_status": "UNDER_REVIEW (house status not yet adjudicated)",
 "evidence_status": [
  {
   "kind": "computational",
   "availability": "unknown"
  }
 ],
 "primary_source": {
  "component": "Appendix P",
  "section": "§2, Theorem 2.2: cylinder-condition count",
  "pdf_page": 284,
  "quote": "The classical Kaluza–Klein cylinder condition (no dependence on the internal coordinate) is inconsistent with the banked content: the required invariant decomposition has dimension signature (1, 27, 27, 1), and the count does not close on the cylinder-invariant subspace."
 },
 "caution": "The count is a statement about banked objects, not a proof that physical spacetime has an additional dimension.",
 "candidate_ids": [
  "C2-025"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-054"
  },
  {
   "type": "cited_by_section",
   "target": "E-C05.2.claims-used"
  },
  {
   "type": "cited_by_section",
   "target": "E-C05.2.derivation"
  },
  {
   "type": "cited_by_section",
   "target": "E-C05.2.prior-art"
  },
  {
   "type": "cited_by_section",
   "target": "E-C05.2.sources-receipt"
  }
 ],
 "url": "/library-v2/LIB2-055/",
 "content_sha256": "26c9b76031b0134c76fa2b46d93fab4e61b2e736c64884fb614568fbdc04e9b2",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}